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Let the random vector (X,Y) have joint density function:
f(x,y) = 1/4(1+xy) if -10 otherwise
a. Show that X and Y are dependentb. Show that X^2 and Y^2 are independent. Hint, this might be easier by using distribution functions, rather than density functions
a.) Make a definition for a sequence to be eventually positive. b.) Prove that the sum of two eventually positive sequences is eventually positive.
Find the volume of the following region: the base of S is an elliptical region with boundary curve 16x^2+9y^2 = 144. Cross-sections perpendicular to the x-axis are isosceles right triangles with hypotenuse in the base.
A certain bacteria population is known to quadruple every 150 minutes. Suppose that there are initially 120 bacteria.
What is the null hypothesis and alternative hypothesis
MONEY MARKET MUTUAL FUNDS Carlos invested $5000 in a money market mutual fund that pays interest on a daily basis.
If someone, perhaps a politician running for office, stated that the national debt is precisely $1.9127656487640 x 1013, would you believe him or her? Please explain your answer
(i) Set up a system of linear equations that can be used to determine whether or notthe set is linearly independent; (ii) Use your linear system to determine if the set is linearly independent or linearlydependent. Be sure to justify your conclusio..
Use the formula S = R - D • R, where S is the sale price, R is the regular price, and D is the discount rate. During a clearance sale, all items are dis¬counted 30%. Find the regular price of a compact disk player on sale for $112.
Identify at least three different sources of information you might use to learn more about the industry. Research these sources.
A straight line has the vector equation r = a + ?b, where a = 3j + 2k, and b = 2i + j + 2k.
British sterling silver should be used to prepare 200grams of a copper-silver alloy that is 10% copper by weight? (round to the nearest tenth)
Can you conjecture how this might relate to the history of the national accounts?
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